A random sample of n = 25 is selected from a normal population with mean
μ = 102
and standard deviation
σ = 11.
(a)
Find the probability that
x
exceeds 107. (Round your answer to four decimal places.)
(b)
Find the probability that the sample mean deviates from the population mean μ = 102 by no more than 2. (Round your answer to four decimal places.)
You may need to use the appropriate appendix table or technology to answer this question.
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